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Finding the Fourth Proportional to 2,343.29, 3,514.46 and 862.01

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Solution

The fourth proportional to 2,343.29, 3,514.46 and 862.01 is: 1,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.29 : 3,514.46 = 862.01 : x
  2. Step 2: Convert to fraction form
    2,343.29/3,514.46 = 862.01/x
  3. Step 3: Cross multiply
    2,343.29x = 3,514.46 × 862.01
  4. Step 4: Simplify right side
    2,343.29x = 3,029,477.78
  5. Step 5: Solve for x
    x = 3,029,477.78/2,343.29
  6. Step 6: Final answer
    x = 1,292.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.